Big chunks of it reminded me a lot of Fargo, and I think it would have even if I didn't know who was directing.
You've got a laid back officer of the law, some big empty landscapes, and a bunch of scenes with minor characters who are oblivious to the main, violent plot of the movie.
The big difference is that Buscemi and the big guy are as much objects of ridicule as any other character, while Chigurh is deadly efficient. All his scenes get a much more serious tone, and you fear for the hotel clerk, gas station owner, sporting goods store cashier, etc. in a way you don't for the two prostitutes in Fargo.